Simplify the following fractions. (4 pts. each) 3. $$ \frac{8}{20} $$ 4. $$ -\frac{12}{44} $$

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UpStudy AI · Accepted Answer

Calculate the value by following steps:
- step0: Calculate:
  $$\frac{8}{20}$$
- step1: Reduce the fraction:
  $$\frac{2}{5}$$
Calculate or simplify the expression $$ -12/44 $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{-12}{44}$$
- step1: Reduce the fraction:
  $$\frac{-3}{11}$$
- step2: Rewrite the fraction:
  $$-\frac{3}{11}$$
Let's simplify the given fractions step by step.

### 3. Simplifying $$ \frac{8}{20} $$

To simplify $$ \frac{8}{20} $$:
1. Find the greatest common divisor (GCD) of 8 and 20, which is 4.
2. Divide both the numerator and the denominator by their GCD:

$$
\frac{8 \div 4}{20 \div 4} = \frac{2}{5}
$$

So, the simplified form of $$ \frac{8}{20} $$ is $$ \frac{2}{5} $$.

### 4. Simplifying $$ -\frac{12}{44} $$

To simplify $$ -\frac{12}{44} $$:
1. Find the GCD of 12 and 44, which is 4.
2. Divide both the numerator and the denominator by their GCD:

$$
-\frac{12 \div 4}{44 \div 4} = -\frac{3}{11}
$$

So, the simplified form of $$ -\frac{12}{44} $$ is $$ -\frac{3}{11} $$.

### Final Answers:
- $$ \frac{8}{20} = \frac{2}{5} $$
- $$ -\frac{12}{44} = -\frac{3}{11} $$
$$ \frac{8}{20} = \frac{2}{5} $$ and $$ -\frac{12}{44} = -\frac{3}{11} $$.

Simplify the following fractions. (4 pts. each) 3. \( \frac{8}{20} \) 4. \( -\frac{12}{44} \)

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